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10 April, 13:43

Simplify 4/3|3w-6|=16

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  1. 10 April, 13:44
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    w = 6 w=-2

    Step-by-step explanation:

    4/3|3w-6|=16

    Multiply each side by 3/4 to isolate the absolute value

    3/4 * 4/3|3w-6|=16*3/4

    |3w-6|=12

    An absolute value has 2 solutions, one positive and one negative

    3w-6 = 12 3w-6 = - 12

    Add 6 to each side

    3w-6+6 = 12+6 3w-6+6=-12+6

    3w = 18 3w = - 6

    Divide by 3

    3w/3 = 18/3 3w/3 = - 6/3

    w = 6 w = - 2
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